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Integration from 0 to infinity x 2 / (xsinx ecosx) 2


 Integration from 0 to infinity x2 / (xsinx ecosx)2


Grade:12th Pass

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
integral lim x=0 to infinity x^2/x^2sin^2xe^2cos^2x
=integral lim x=0 to infinity 1/sin^2xe^2cos^2x
=1/e^2integral lim x=0 to infinity4/(2sinxcosx)^2
=4/e^2integral lim x=0 to infinity dx/sin^2(2x)
=4/e^2 integral lim x=0 to infinity cosec^2(2x) dx
=4/e^2 [(-cot2x)/2] x=0 to infinity
=2/e^2[-cot infinity+ cot0]
=infinite
Thanks & Regards
Rinkoo Gupta
AskIItians Faculty

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